Analytic Riemann boundary value problem on \(h\)-summable closed curves

DOI10.1016/j.amc.2013.11.053zbMath1364.30042OpenAlexW2125237243MaRDI QIDQ2396499

Yudier Peña Pérez, Ricardo Abreu-Blaya, Juan Bory-Reyes, Tania Moreno-García

Publication date: 8 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.053

zbMATH Keywords

Riemann boundary value problemanalytic functionsfractal dimensions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

Related Items (7)

A Cauchy transform for polymonogenic functions on fractal domains ⋮ Electromagnetic Riemann-Hilbert boundary value problem in fractal domains of \(\mathbb{R}^2\) ⋮ Riemann problem for bianalytic functions on h-summable curves ⋮ Hölder norm estimate for the fractal Hilbert transform in Douglis analysis ⋮ Riemann and Dirichlet type problems for hyperanalytic functions in fractal domains ⋮ Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains ⋮ On the Riemann problem in fractal elastic media

Cites Work

• Integration over non-rectifiable curves and Riemann boundary value problems
• The Riemann boundary value problem on a closed nonrectifiable curve and the Cauchy transform
• First order elliptic systems. A function theoretic approach
• On solvability of the jump problem
• Hyperanalytic Riemann boundary value problem on \(d\)-summable closed curves
• The Gauss-Green theorem for fractal boundaries
• The refined metric dimension with applications
• The Riemann Boundary Value Problem on Non-rectifiable Arcs and the Cauchy Transform
• A note about Riemann boundary value problems on non-rectifiable curves
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